The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (??? 12, Chap. XI), polysingular integral operators and pseudo-differential operators (?????? 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (??? 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis ...
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The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (??? 12, Chap. XI), polysingular integral operators and pseudo-differential operators (?????? 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (??? 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote ?????? 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.
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Seller's Description:
532 pp., hardcover, previous owner's name to title page, initials to the rear free endpaper, else fine. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
It is the only text dealing both with the theory of one-dimensional and multidimensional linear singular integral operator, covering both Mikhlin's theory and Calderon-Zygmnund and Stein's theory. It also presents some mainstream topics like pseudodifferential operators and some not easily foun ones like systems of singular integral equations (in one and more space dimensions) and numerical
methods for singular integral equations. The writing style is plain as usual for Mikhlin.
